HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 322
Solving systems of linear equations
UPC - 882780045217
View all HP 40gs manuals
Add to My Manuals
Save this manual to your list of manuals |
Page 322 highlights
hp40g+.book Page 8 Friday, December 9, 2005 1:03 AM To divide by a square matrix For division of a matrix or a vector by a square matrix, the number of rows of the dividend (or the number of elements, if it is a vector) must equal the number of rows in the divisor. This operation is not a mathematical division: it is a leftmultiplication by the inverse of the divisor. M1/M2 is equivalent to M2-1 * M1. To divide the two matrices M1 and M2 that you created for the previous example, press the following keys: M1 M2 To invert a matrix To negate each element You can invert a square matrix in HOME by typing the matrix (or its variable name) and pressing x-1 . Or you can use the matrix INVERSE command. Enter INVERSE(matrixname) in HOME and press . You can change the sign of each element in a matrix by pressing before the matrix name. Solving systems of linear equations Example Solve the following linear system: 2x + 3y + 4z = 5 x+y-z = 7 4x - y + 2z = 1 1. Open the Matrix catalog and create a vector. MATRIX 2. Create the vector of the constants in the linear system. 5 7 1 18-8 Matrices